DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lopez-Abad, Jorge | en |
dc.contributor.author | Todorčević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:29:25Z | - |
dc.date.available | 2020-05-01T20:29:25Z | - |
dc.date.issued | 2009-09-01 | en |
dc.identifier.issn | 0002-9947 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/2221 | - |
dc.description.abstract | We present a Banach space X with a Schauder basis of length ω1 which is saturatedby copies of c0 and such that for every closed decomposition of a closedsubspace X = X0⊕ X1, either X0 or X1 has to be separable. This can be considered as the non-separable counterpart of the notion of hereditarily indecomposable space. Indeed, the subspaces of X have "few operators" in the sense that every bounded operator T: R → X from a subspace X of X into X is the sum of a multiple of the inclusion and a ω1- singular operator, i.e., an operator S which is not an isomorphism on any non-separable subspace of X. We also show that while X is not distortable (being c0-saturated), it is arbitrarily ω1-distortable in the sense that for every λ > 1 there is an equivalent norm |||. ||| on X such that for every non-separable subspace X of X there exist x, y ∈ SX suchthat |||x|||/|||y||| ≥ λ. | en |
dc.publisher | American Mathematical Society | - |
dc.relation.ispartof | Transactions of the American Mathematical Society | en |
dc.title | A c0-saturated banach space with no long unconditional basic sequences | en |
dc.type | Article | en |
dc.identifier.doi | 10.1090/S0002-9947-09-04858-2 | en |
dc.identifier.scopus | 2-s2.0-77950651254 | en |
dc.relation.firstpage | 4541 | en |
dc.relation.lastpage | 4560 | en |
dc.relation.issue | 9 | en |
dc.relation.volume | 361 | en |
dc.description.rank | M21 | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0003-4543-7962 | - |
SCOPUSTM
Citations
4
checked on Sep 7, 2024
Page view(s)
2
checked on Sep 7, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.